Ideal Gas Laws

$600 \mathrm{c}.\mathrm{c}.$ of a gas at a pressure of $750 \mathrm{mm}$ is compressed to $500 \mathrm{c}.\mathrm{c}$. Taking the temperature to remain constant, the increase in pressure, is

Under what conditions will a pure sample of an ideal gas not only exhibit a pressure of $1 \mathrm{atm}$ but also a concentration of $1 \mathrm{mole} {\mathrm{L}}^{-1}$?

$(\mathrm{R}=0.082 \mathrm{L}\mathrm{atm}{\mathrm{mol}}^{-1}{\mathrm{deg}}^{-1})$

Select one correct statement. In the gas equation, PV = nRT

The volume of air in a car tyre is about $1.50\times {10}^{-2} m^3$ at a temperature of $0.0 °C$ and  pressure $250 kPa$.

Calculate the number of molecules in the tyre( in no. of Molecules).

A container of an ideal gas that is isolated from its surroundings is divided into two parts. One part has double the volume of the other. The pressure in each part is $P$ and the temperature is the same. The partition is removed. What is the pressure in the container now? 

Which method do we use to separate a mixture of gases having different molecular weights?

Significance of $a$ and $b$ in Van der Waals equation:

Equation for an ideal gas is:

Which one is the correct dimensional formula for Boltzmann constant?

Which one is the correct dimensional formula for universal gas constant.

Which one is the correct SI unit of universal gas constant.

When gases react together, their reaction volume bears a simple ratio to each other, under the same conditions of temperature and pressure. This law was proposed by _____.

By what percentage should the pressure of a given mass of gas be increased to decrease its volume by $10\%$ at a constant temperature?

The number of molecules in $1 \mathrm{cc}$ of a gas at pressure ${10}^{-3} \mathrm{atm}$ and temperature $200 \mathrm{K}$ will be,

Two vessels contain two different ideal gases $A$ and $B$ at same temperature. If the ratio of molecular weights of $A$ and $B$ is $3: 4$ then ratio of densities of $A$ and $B$, if ratio of pressure is $8: 9$ is

Two containers $C_1$ and $C_2$ of volumes $V$ and $4V$ respectively, hold the same ideal gas and are connected by a thin horizontal tube of negligible volume with a valve which is initially closed. The initial pressures of the gas in $C_1$ and $C_2$ are $p$ and $5p$, respectively. Heat baths are employed to maintain the temperatures in the containers at $300 \mathrm{K}$ and $400 \mathrm{K}$, respectively. The valve is now opened. Select the correct statement.

Which one of the following schematic graphs best represents the variation of $p V$ (in Joules) versus $T$ (in Kelvin) of one mole of an ideal gas? (The dotted line represents $p V=T$ )

The internal energy of a gram-molecule of an ideal gas depends on _______.

The equation of state for $5 \mathrm{g}$ of $$\begin{gathered} O_{2 \\ } \end{gathered}$$ at pressure $P$ and temperature $T$ at volume $V$ will be :

During an experiment an ideal gas is found to obey an additional law $V{P}^2=$ constant. The gas is initially at temperature $T$ and volume $V,$ when it expands to volume $2 V,$ the resulting temperature is:-